This is a cost analysis (kinda) answer1.
What would being injured cost you? Do you have medical insurance/free health care? Would a broken hand/finger(s) mean you would be effectively unable to earn a living because you do a lot of manual work? Do you know how to use a left/right handed Dvorak keyboard? Once you have an idea of the cost of the injury as incurred by you, the next step is to work out how likely that injury is to happen.
Furthermore, as Drunk Cynic pointed out:
Further consideration for the severity of consequences may be warranted; beyond a broken finger, what would the impact be if a finger or the hand is effectively maimed. Nerve damage, bruised or disconnected ligaments, etc.
This is more tricky but you could work it out by seeing how many gloves are sold and how much injury there are. You could do that with just your club but the statistic might be biased. Then again, you are training there so it is a good sample space. Clearly, you would need to work it out for both type of gloves.
Now, you have the injury cost and the likely hood of it happening. This can give you a predicted cost over time. Depending on what your findings are, you can then decide which gloves you wish to purchase.
Clearly, you can do this all as bulk parts calculations instead of looking for the most precise data.
1 This is to be taken with a grain (or two) of salt. ☺